Decay instability of finite-amplitude circularly polarized Alfven waves - A numerical simulation of stimulated Brillouin scattering

T. Terasawa, M. Hoshino, J-I. Sakai, Tohru Hada

Research output: Contribution to journalArticle

Abstract

By means of a numerical simulation, nonlinear evolution of large amplitude dispersive Alfven waves is studied. An energy transfer from the parent wave to two daughter Alfven-like waves and a soundlike wave is observed (a stimulated Brillouin scattering process). The observed growth rates and propagation characteristics of these daughter waves agree with the analytical results, which we obtain by extending the previous treatments by Goldstein, Derby, Sakai, and Sonnerup. Ions are first trapped by the electrostatic potential of the daughter soundlike waves. Along with the eventual decay (ion Landau damping) of the soundlike waves, ions are phase-mixed and left heated in the parallel direction. The increased parallel energy of ions is transferred to the perpendicular thermal energy through the nonresonant scattering process in the colliding Alfven waves (parent and daughter waves). We further observe that the daughter Alfven waves, which still have a large amplitude, are also unstable for further decay, and that the wave energy is continuously transferred to the longer wavelength regime (inverse cascading process).
Original languageEnglish
Article number10.1029/JA091iA04p04171
Pages (from-to)4171-4187
Number of pages17
JournalJournal of Geophysical Research
Volume91
Issue numberA4
Publication statusPublished - 1986

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Stimulated Brillouin scattering
magnetohydrodynamic waves
deterioration
scattering
ions
Computer simulation
decay
simulation
energy
energy transfer
Ions
ion
wavelengths
Landau damping
heat
thermal energy
wave energy
electrostatics
Thermal energy
damping

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Decay instability of finite-amplitude circularly polarized Alfven waves - A numerical simulation of stimulated Brillouin scattering. / Terasawa, T.; Hoshino, M.; Sakai, J-I.; Hada, Tohru.

In: Journal of Geophysical Research, Vol. 91, No. A4, 10.1029/JA091iA04p04171, 1986, p. 4171-4187.

Research output: Contribution to journalArticle

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AU - Hada, Tohru

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AB - By means of a numerical simulation, nonlinear evolution of large amplitude dispersive Alfven waves is studied. An energy transfer from the parent wave to two daughter Alfven-like waves and a soundlike wave is observed (a stimulated Brillouin scattering process). The observed growth rates and propagation characteristics of these daughter waves agree with the analytical results, which we obtain by extending the previous treatments by Goldstein, Derby, Sakai, and Sonnerup. Ions are first trapped by the electrostatic potential of the daughter soundlike waves. Along with the eventual decay (ion Landau damping) of the soundlike waves, ions are phase-mixed and left heated in the parallel direction. The increased parallel energy of ions is transferred to the perpendicular thermal energy through the nonresonant scattering process in the colliding Alfven waves (parent and daughter waves). We further observe that the daughter Alfven waves, which still have a large amplitude, are also unstable for further decay, and that the wave energy is continuously transferred to the longer wavelength regime (inverse cascading process).

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